(50 POINTS) Express each sum using summation notation.
14. 3 + 3^2/2 + 3^3/3 ... + 3^n/n
15. 1 + 3 + 5 + 7 +... [2(12) - 1]

Answer:

nope, an integer must be a whole number, no fractions / decimals

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

An integer is a whole number or a number that is not a fraction or decimal. So, since 41.77 is a decimal it cannot be an integer. Examples of integers are 41 or -2.

Answer:

5%

Step-by-step explanation:

Answer:

5% increase

Step-by-step explanation:

30/600 equals .05 or 5%

Answer:

7/12

Step-by-step explanation:

Basically to find the boys fraction I subtracted 40 from 96 and got 56. Your answer for the number of boys would be 56/96. I divided 4 from each and got 14/24. lastly I divide by 2 and got 7/12.

Answer:

X = 23

Step-by-step explanation:

oppsosite angles are equal so the brackets equal 90 degrees like the right angle opposite.

90-21 = 69

69  / 3 = 23

x = 23

Answer:

23

Step-by-step explanation:

The equation on the left will equal to 90 due to it being congruent to the angle with the square. Therefore, make the equation out to be 3x+21=90 and subtract 21 from both sides and that will give you 69. Divide 69 by three which will leave you with x=23

Answer:

Graph B. is the one

Step-by-step explanation:

Can i have brainliest

Answer:

b is the right answer

Step-by-step explanation:

(x,y)

Answer:

60 mins

Step-by-step explanation:

15+45=60

The time needed to make 138 pancakes if both Mark and Charlotte work together is 227.142 minutes.

A fraction is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25.

As it is given that Mark can make 9 pancakes in 15 minutes, therefore, the number of pancakes that Mark can make in one minute,

[tex]\text{Number of Pancake in one minute} = \dfrac{9}{15}[/tex]

Now, for Charlotte, it is given that he makes 42 pancakes in 45 minutes, therefore, the number of pancakes that Charlotte can make in one minute,

[tex]\text{Number of Pancake in one minute} = \dfrac{42}{45} = \dfrac{12}{15}[/tex]

Further, the total pancakes that can be made in one minute,

[tex]\text{Total Number of Pancake in one minute} = \dfrac{9}{15} +\dfrac{12}{15} = \dfrac{21}{15}[/tex]

As they both need to make 138 pancakes together, therefore, the time they need is,

[tex]\rm Time\ Needed = \dfrac{\text{Total number of pancakes}}{\text{Total number of pancakes in one minute}}[/tex]

[tex]\rm Time\ Needed = \dfrac{138}{\frac{21}{15}} = \dfrac{138\times 15}{21} = 227.142[/tex]

Hence, the time needed to make 138 pancakes if both Mark and Charlotte work together is 227.142 minutes.

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Answer:

65

Step-by-step explanation:

all triangles angles equal 180°

180-72-43=65

Answer:

-46.677%

Step-by-step explanation:

The computation of the percent error is shown below:

As we know that

Area of the warehouse = length × width

Based on estimated values, the area is

= 400 × 150

= 60,000

And, based on actual values, the area is

= 320 × 100

= 32,000

Now the percent error is

= (32,000 - 60,000) ÷ 60,000 × 100

= -46.677%

Answer:

V≈7853.98

Step-by-step explanation:

V=πr2h

r=10

h=25

Solution

V=πr2h=π·102·25≈7853.98163

Answer:

roughly 1.5

Step-by-step explanation:

Answer:

it represents a variable

Step-by-step explanation:

The number 8 is the coefficient of the variable k.

A coefficient in mathematics is a multiplicative factor in a polynomial term, a series term, or an expression. It is typically a number, but it can also be any expression. They may also be referred to as parameters if the coefficients are variables in and of themselves.

Given that the expression is 8k + 5. In the given expression the number 8 is the coefficient of the given expression.

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Answer:

10.35

Step-by-step explanation:

63,756 x 60 = 3825360

70 x 5,280 = 369600

3825360 ÷ 369600 = 10.35

Answer:

2(x+y)

Step-by-step explanation:

perimeter=20cm

length=x

Take the radius to be y

area of a rectangle=2(length+width)

therefore area of a rectangle=2(x+y)

Answer:

e) yes, symmetric around the y-axis

f) minimum at (0,0)

g) x-intercept at 0

Step-by-step explanation:

Option A,Option B and Option C is correct

What is parallelogram?

Parallelogram is 4 sided closed figure with opposites parallel and equal

Given,AB=CD

AD=BC

Since, its opposite sides are equal, it is a parallelogram.

∴ΔABD≅ΔBCD

AC= BD(By CPCTC)

B. Triangle ABC =~ Triangle CDA ( Since its a parallelogram)

C.AB =DC(Given)

D. Angle ABD =~ Angle DBC(wrong)

Therefore,Option A,Option B and Option C is correct

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Answer:

( B )              △ABC ≅ △CDA

( C )                    AB ≅ DC

Step-by-step explanation:

Khan Academy;

ABC = CDA, but ≅ means approximately which is also true.

AB = DC, because the distance matches.

Answer:

not a function becuz 2 repeats its self twice

Step-by-step explanation:

Answer:

You are welcome

Step-by-step explanation:

Correction in the Question:

A wooded area is in the shape of a a trapezoid whose bases measure 128 m and 92 m and its height is 40 m. A 4 m wide walkway is constructed which runs perpendicular from the two bases. Calculate the area of the wooded area after the addition of the walkway.

Answer:

The wooded area after the addition of the walkway is 4240 [tex]m^2[/tex].

Step-by-step explanation:

we are given

length of the two bases = 128m and 92m

height of the trapezoid = 40m

the approximate figure of the given trapezoid is given as:

             __ __ __ 92 __ __ _

          /  |               |  |                 \

       /     | 40         |4|                    \

    /__ _| __ __     |  |__ __ __ __ \

                           128

Area of a trapezoid = [(a + b)/2] * height, where a and b are representing the bases of the given trapezoid.

Area = [(92 + 128)/2] * 40

        = [220/2] * 40  

        = 110 * 40

        = 4400 [tex]m^2[/tex]

Now there is a 4m wide walkway is to be constructed in that trapezoid. The pathway will be a rectangle as it has 4m width and 40m height as it is perpendicular to both the bases.  

Area of a rectangle = length * width

Area = 40 * 4

        = 160

Since the walkway will reduce the area of the trapezoid as it is constructed upon it therefore the wooded area after the addition of the walkway is

4400 + (-160) = 4240 [tex]m^2[/tex].

Answer:

[tex] f(x) = -\dfrac{2}{17}x + \dfrac{843}{17} [/tex]

Step-by-step explanation:

Given:

Score of 37 with 107 minutes on social media.

Score of 41 with 73 minutes on social media.

The two pieces of information above can be thought of as two points on a line. Since the quiz score is a function of the number of minutes on social medial, let the number of minutes on social media be x and the score be y. The given information gives us two ordered pairs: (107, 37) and (73, 41).

Now we need to write the equation of a line that passes through these two points.

The two-point form of the equation of a line is:

[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]

We have [tex] x_1 = 107 [/tex], [tex] y_1 = 37 [/tex], [tex] x_2 = 73 [/tex], and [tex]y_2 = 41[/tex].

[tex] y - 37 = \dfrac{41 - 37}{73 - 107}(x - 107) [/tex]

[tex] y - 37 = \dfrac{4}{-34}(x - 107) [/tex]

[tex] y - 37 = -\dfrac{2}{17}(x - 107) [/tex]

[tex] 17y - 629 = -2x + 214 [/tex]

[tex] 17y = -2x + 843 [/tex]

[tex] y = -\dfrac{2}{17}x + \dfrac{843}{17} [/tex]

[tex] f(x) = -\dfrac{2}{17}x + \dfrac{843}{17} [/tex]

Answer:

1.2

Step-by-step explanation:

There are 2 lines in the middle of the circle. Im guessing by you saying "The line in the middle" You must mean the radius your trying to find the diameter so, the radius is half of the diameter so to find the diameter you do the radius x 2 in this case 3/5x2 equals 1.2 :)

I Hope this helps!!

Answer:

Yes

Step-by-step explanation:

6 + 10 would equal 16

You're right, have a great day!

Answer:

yes, it is 10

Step-by-step explanation:

Subtract 16 and 6 and you get 10.

Or Subtract 6 and 6 and subtract 16 and 6.

It'll still be 10 no matter what.

Answer:

4/5 hours

Step-by-step explanation:

Answer:

20/9 hours

Step-by-step explanation:

I got it right on the quiz

Answer:

maybe it meane 11/a

Step-by-step explanation:

Answer:

The bracket is the binomial.

The definition is: [tex]\binom{n}{k} = \frac{n!}{k!\cdot (n-k)!}[/tex]

Note that [tex]\binom{n}{k} = \binom{n}{n-k}[/tex]

The meaning is "if we have n elements, how many ways are there to choose k of them?" From this definition it should be obvious that [tex]\binom{n}{k} = \binom{n}{n-k}[/tex] - if you're picking k, it's just as many ways as choosing the (n-k) that you're not picking.

The coefficient can be found by realizing that to get x^9, we need to choose (from the full multiplication):

There's [tex]\binom{11}{9}[/tex] ways to do that, so the component for x^9 will be:

[tex]\binom{11}{9} \cdot 3^2 \cdot x^9 = \frac{11!}{2!\cdot 9!} \cdot 3^2 \cdot x^9 = \frac{10\cdot 11}{2} \cdot 3^2 \cdot x^9 = 55 \cdot 9 \cdot x^9 = 495x^9[/tex]

So:

a = 2

Coefficient is 495

Answer:

4

Step-by-step explanation:

We can do this problem by doing the absolute value of the difference between 2 and -2.

2-(-2)=4. Absolute value of 4 is 4.

Hope this helped.

~cloud

Answer:

4

Step-by-step explanation:

Answer:

YOU DO IT X 2

Step-by-step explanation:

10 and -6                                  

.....................................................

Answer:

c. 60

Step-by-step explanation:

Given

[tex]n = 61[/tex] --- sample

[tex]\bar x = 23[/tex]

Required

Determine the degrees of freedom (df)

This is calculated as:

[tex]df = n - 1[/tex]

[tex]df = 61 - 1[/tex]

[tex]df = 60[/tex]

Answer:

See explanation below

Step-by-step explanation:

Total number = (Rate)(time)

---------------------------------------

t = cd

t = qh

t = wm

Answer:

You need to find the radius first,

Half of 23 is = 11.5

Formula you must remember when finding area of circle is:

πr^2

(pie (3.14 or 22/7) x radius squared)

Our pie is 3.14 because they said to use it in this particular question.

3.14 x 11.5^2 (remember we are making our radius squared) <--- Before

Let's evaluate first:

3.14 x 132.25 <--- After evaluating

So, 3.14 x 132.25 = 415.265 <----- your answer

                               _______

Answer:

U scammer scaming peoiple ans wasting their points!

Step-by-step explanation: